Mathematics

The effect of vaccination on influenza’s rate of antigenic drift

Speaker: 
Katia Koelle
Date: 
Thu, Jan 17, 2013
Location: 
PIMS, University of British Columbia
Conference: 
Disease Dynamics 2013
Abstract: 

The effect of vaccination on influenza’s rate of antigenic drif

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Optimizing Influenza Vaccine Allocation

Speaker: 
Jan Medlock
Date: 
Thu, Jan 17, 2013
Location: 
PIMS, University of British Columbia
Conference: 
Disease Dynamics 2013
Abstract: 

Optimizing Influenza Vaccine Allocation

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Mathematical Modeling: The View from Public Health Practice

Speaker: 
David Patrick
Date: 
Thu, Jan 17, 2013
Location: 
PIMS, University of British Columbia
Conference: 
Disease Dynamics 2013
Abstract: 

Mathematical Modeling: The View from Public Health Practice

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How Does Google Google? The Math Behind the Internet

Speaker: 
Margot Gerritsen
Date: 
Thu, Jan 17, 2013
Location: 
PIMS, University of British Columbia
Conference: 
Mathematics of Planet Earth 2013
Abstract: 

We all Google. You may even have found this talk by Googling. What you may not know is that behind the Google’s and other search engines is beautiful and elegant mathematics. In this talk, I will try to explain the workings of page ranking and search engines using only rusty calculus.

An alternative version of this lecture presented at the University of Calgary is also available.

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Turing and Intelligent Machines

Speaker: 
Nicole Wyatt
Date: 
Tue, Dec 4, 2012
Location: 
University of Calgary
Conference: 
Alan Turing Year
Abstract: 

Turing's interest in the possibility of machine intelligence is probably most familiar in the form of the 'Turing Test', a version of which has been instantiated since 1991 as the Loebner Prize in Artificial Intelligence. To this date the Loebner Gold Medal has not been won. But should any future winner of the prize count themselves as having created a computer that thinks? Turing's 1950 Mind paper 'Computing Machinery and Intelligence', gives a sustained defence of the claim that a machine able to pass the test, which Turing called the Imitation Game, would indeed qualify as thinking. This lecture will explain the Turing Test as well as Turing's more general views concerning the prospects for artificial intelligence and examine both the criticisms of the test and Turing's rebuttals

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Math Mania at the Middle School

Speaker: 
St Michaels University School
Date: 
Fri, Dec 7, 2012
Location: 
St Michaels University School, Victoria
Conference: 
Math Mania
Abstract: 

Mania over Math at St Michaels University School

Math Mania, a new event at SMUS, brought a crowd of students and parents to the Middle School to enjoy games and puzzles for all ages. Parents teamed up with their children to conquer equations and Senior School students shared their enthusiasm for mathematics with some of our younger community members.

For more information on Math Mania please visit the

Credit for this video belongs to St Michaels University School.

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An Octahedral Gem Hidden in Newton's Three Body Problem (2012 Marsden Memorial Lecture)

Speaker: 
Richard Montgomery
Date: 
Wed, Jul 25, 2012
Location: 
Fields Institute
Conference: 
Focus Program on Geometry, Mechanics and Dynamics
Marsden Memorial Lecture
Abstract: 

Richard Montgomery, University of California, Santa Cruz will deliver a talk entitled, "An Octahedral Gem Hidden in Newton's Three Body Problem." The lecture will take place on July 25, 2012 at the Fields Institute, as part of the conference on "Geometry, Symmetry, Dynamics, and Control: The Legacy of Jerry Marsden."

Richard Montgomery received undergraduate degrees in both mathematics and physics from Sonoma State in Northern California. He completed his PhD under Jerry Marsden at Berkeley in 1986, after which he held a Moore Instructorship at MIT for two years, followed by two years of postdoctoral studies at University of California, Berkeley.

Montgomery's research fields are geometric mechanics, celestial mechanics, control theory and differential geometry and is perhaps best known for his rediscovery - with Alain Chenciner - of Cris Moore's figure eight solution to the three-body problem, which led to numerous new 'choreography' solutions. He also established the existence of the first-known abnormal minimizer in sub-Riemannian geometry, and is known for investigations using gauge-theoretic ideas of how a falling cat lands on its feet. He has written one book on sub-Riemannian geometry.

The PIMS Marsden Memorial Lecture Series is dedicated to the memory of Jerrold E Marsden (1942-2010), a world-renowned Canadian applied mathematician. Marsden was the Carl F Braun Professor of Control and Dynamical Systems at Caltech, and prior to that he was at the University of California, Berkeley, for many years. He did extensive research in the areas of geometric mechanics, dynamical systems and control theory. He was one of the original founders in the early 1970s of reduction theory for mechanical systems with symmetry, which remains an active and much studied area of research today.

The inaugural Marsden Memorial Lecture was given by Alan Weinstein (University of California, Berkeley) in July of 2011 at ICIAM in Vancouver.

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Numbers and Shapes

Speaker: 
Henri Darmon
Date: 
Thu, Nov 1, 2012
Location: 
PIMS, University of Calgary
Conference: 
Hugh C. Morris Lecture
Abstract: 

Number theory is concerned with Diophantine equations and their solutions, encoded in discrete structures involving integers, rational numbers or algebraic quantities. Topology studies the properties of shapes that are unchanged under continuous or smooth deformations, a technique of choice being the construction of appropriate homological invariants. It turns out--perhaps surprisingly to the uninitiated--that these invariants can be endowed with sufficient structure to capture a tremendous amount of arithmetic information. The powerful interplay between arithmetic and topological ideas underlies the most important breakthroughs in the study of Diophantine equations, such as Faltings’ proof of the Mordell Conjecture and Wiles’ proof of Fermat’s Last Theorem. It is also at the heart of more recent and still very fragmentary attempts to construct algebraic points on elliptic curves when their existence is predicted by the Birch and Swinnerton-Dyer conjecture. This lecture will attempt to give a non-technical sampler of some of the rich, fascinating interactions between arithmetic questions and topological insights.

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Iwahori-Hecke algebras are Gorenstein (part II)

Speaker: 
Peter Schneider
Date: 
Tue, Oct 23, 2012 to Wed, Oct 24, 2012
Location: 
PIMS, University of British Columbia
Conference: 
PIMS Speaker series
Abstract: 

n the local Langlands program the (smooth) representation theoryof p-adic reductive groups G in characteristic zero plays a key role. For any compact open subgroup K of G there is a so called Hecke algebra H(G,K). The representation theory of G is equivalent to the module theories over all these algebras H(G,K). Very important examples of such subgroups K are the Iwahori subgroup and the pro-p Iwahori subgroup. By a theorem of Bernstein the Heckealgebras of these subgroups (and many others) have finite global dimension.

In recent years the same representation theory of G but over an algebraically closed field of characteristic p has become more and more important. But little is known yet. Again one can define analogous Hecke algebras. Their relation to the representation theory of G is still very mysterious. Moreover they are no longer of finite global dimension. In joint work with R. Ollivier we prove that over any field the algebra H(G,K), for K the (pro-p) Iwahori subgroup, is Gorenstein.

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